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121200223131 = 34132913992837
BaseRepresentation
bin111000011100000011…
…0001010001110011011
3102120211122121021010000
41300320012022032123
53441204224120011
6131402325224043
711520311620131
oct1607006121633
9376748537100
10121200223131
1147445403569
121b5a5862023
13b576a59280
145c1a8d3751
153245537356
hex1c3818a39b

121200223131 has 80 divisors (see below), whose sum is σ = 201918024000. Its totient is φ = 71936024832.

The previous prime is 121200223099. The next prime is 121200223141. The reversal of 121200223131 is 131322002121.

It is not a de Polignac number, because 121200223131 - 25 = 121200223099 is a prime.

It is a super-2 number, since 2×1212002231312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121200223141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42719845 + ... + 42722681.

It is an arithmetic number, because the mean of its divisors is an integer number (2523975300).

Almost surely, 2121200223131 is an apocalyptic number.

121200223131 is a deficient number, since it is larger than the sum of its proper divisors (80717800869).

121200223131 is a wasteful number, since it uses less digits than its factorization.

121200223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121200223131 its reverse (131322002121), we get a palindrome (252522225252).

The spelling of 121200223131 in words is "one hundred twenty-one billion, two hundred million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 783 1053 1131 1399 2349 2837 3393 4197 8511 10179 12591 18187 25533 30537 36881 37773 40571 54561 76599 82273 110643 113319 121713 163683 229797 246819 331929 365139 491049 527423 740457 995787 1069549 1095417 1473147 1582269 2221371 2987361 3208647 3286251 3968963 4746807 6664113 9625941 11906889 14240421 28877823 35720667 42721263 51596519 86633469 107162001 115099927 154789557 321486003 345299781 464368671 1035899343 1393106013 1496299051 3107698029 4179318039 4488897153 9323094087 13466691459 40400074377 121200223131